680139600
680,139,600 is an even composite number composed of six prime numbers multiplied together.
680139600 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred sixty divisors.
Prime factorization of 680139600:
24 × 3 × 52 × 72 × 43 × 269
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 7 × 43 × 269)See below for interesting mathematical facts about the number 680139600 from the Numbermatics database.
Names of 680139600
- Cardinal: 680139600 can be written as Six hundred eighty million, one hundred thirty-nine thousand, six hundred.
Scientific notation
- Scientific notation: 6.801396 × 108
Factors of 680139600
Divisors of 680139600
- Number of divisors d(n): 360
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 43 48 49 50 56 60 70 75 80 84 86 98 100 105 112 120 129 140 147 150 168 172 175 196 200 210 215 240 245 258 269 280 294 300 301 336 344 350 392 400 420 430 490 516 525 538 560 588 600 602 645 688 700 735 784 807 840 860 903 980 1032 1050 1075 1076 1176 1200 1204 1225 1290 1345 1400 1470 1505 1614 1680 1720 1806 1883 1960 2064 2100 2107 2150 2152 2352 2408 2450 2580 2690 2800 2940 3010 3225 3228 3440 3612 3675 3766 3920 4035 4200 4214 4300 4304 4515 4816 4900 5160 5380 5649 5880 6020 6321 6450 6456 6725 7224 7350 7525 7532 8070 8400 8428 8600 9030 9415 9800 10320 10535 10760 11298 11567 11760 12040 12642 12900 12912 13181 13450 14448 14700 15050 15064 16140 16856 17200 18060 18830 19600 20175 21070 21520 22575 22596 23134 24080 25284 25800 26362 26900 28245 29400 30100 30128 31605 32280 33712 34701 36120 37660 39543 40350 42140 45150 45192 46268 47075 50568 51600 52675 52724 53800 56490 57835 58800 60200 63210 64560 65905 69402 72240 75320 79086 80700 80969 84280 90300 90384 92536 94150 101136 105350 105448 107600 112980 115670 120400 126420 131810 138804 141225 150640 158025 158172 161400 161938 168560 173505 180600 185072 188300 197715 210700 210896 225960 231340 242907 252840 263620 277608 282450 289175 316050 316344 322800 323876 329525 347010 361200 376600 395430 404845 421400 451920 462680 485814 505680 527240 555216 564900 566783 578350 632100 632688 647752 659050 694020 753200 790860 809690 842800 867525 925360 971628 988575 1054480 1129800 1133566 1156700 1214535 1264200 1295504 1318100 1388040 1581720 1619380 1700349 1735050 1943256 1977150 2024225 2259600 2267132 2313400 2429070 2528400 2636200 2776080 2833915 3163440 3238760 3400698 3470100 3886512 3954300 4048450 4534264 4626800 4858140 5272400 5667830 6072675 6477520 6801396 6940200 7908600 8096900 8501745 9068528 9716280 11335660 12145350 13602792 13880400 14169575 15817200 16193800 17003490 19432560 22671320 24290700 27205584 28339150 32387600 34006980 42508725 45342640 48581400 56678300 68013960 85017450 97162800 113356600 136027920 170034900 226713200 340069800 680139600
- Sum of all divisors σ(n): 2603003040
- Sum of proper divisors (its aliquot sum) s(n): 1922863440
- 680139600 is an abundant number, because the sum of its proper divisors (1922863440) is greater than itself. Its abundance is 1242723840
Bases of 680139600
- Binary: 1010001000101000011011010100002
- Hexadecimal: 0x288A1B50
- Base-36: B8XR2O
Squares and roots of 680139600
- 680139600 squared (6801396002) is 462589875488160000
- 680139600 cubed (6801396003) is 314625692878566947136000000
-
The
square root of 680139600 is 26079.4861912575 -
The
cube root of 680139600 is 879.4261065321
Scales and comparisons
How big is 680139600?- 680,139,600 seconds is equal to 21 years, 32 weeks, 3 days, 23 hours, 40 minutes.
-
To count from 1 to 680,139,600 would take you about thirty-two years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 680139600 cubic inches would be around 73.3 feet tall.
Recreational maths with 680139600
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